The Experts below are selected from a list of 105 Experts worldwide ranked by ideXlab platform
Emil A Fellmann - One of the best experts on this subject based on the ideXlab platform.
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non mathematica im briefwechsel leonhard eulers mit Johann Bernoulli
1992Co-Authors: Emil A FellmannAbstract:Jeder Mathematiker kennt (mindestens von den Ruckenschildern her) die seit 1911 in drei Serien erschienenen rund 70 Bande der EULER-Ausgabe, die heute bis auf vier noch ausstehende Bande1 komplett vorliegt. Die EULER-Kommission der Schweizerischen Akademie der Naturwissenschaften faste 1967 den bedeutsamen Entschlus, diesen ersten drei Serien mit einer vierten die Krone aufzusetzen. Diese Series quarta zerfallt in zwei Teile A und B. Der Teil IV A soll EULERs Briefwechsel2 (9 Bande) enthalten, IV B seine wissenschaftlichen Notiz- und Tagebucher (ca. 7 Bande). Konnten die Serien I–III noch ausschlieslich auf bereits fruher einmal gedruckte Bucher und Abhandlungen Eulers gestutzt werden, so mussen jedoch die Briefe und Manuskripte, die nur zum kleineren Teil oft blos partiell veroffentlicht sind, textkritisch, d.h. aus den handschriftlichen Originalen (soweit erhalten) transkribiert und fachlich kommentiert herausgegeben werden.
Leonardo Miranda De ,castro - One of the best experts on this subject based on the ideXlab platform.
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O cálculo variacional e as curvas cicloidais
2014Co-Authors: Leonardo Miranda De ,castroAbstract:Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2014.Apresentamos neste trabalho as curvas cicloidais: ciclóide, epiciclóide e hipociclóide. No entanto, para sustentar as afirmações que serão feitas neste trabalho, principalmente sobre a ciclóide, inicialmente trataremos sobre o cálculo variacional, a sua história e sobre matemáticos famosos que contribuíram para o seu desenvolvimento, após discorreremos sobre o problema colocado por Johann Bernoulli: o problema da Braquistócrona que contribuiu grandemente para as descobertas sobre o cálculo variacional no porvir. Sobre a ciclóide especificamente discutiremos suas interessantes propriedades, a saber: o fato desta ser tautócrona e isócrona. Já para a segunda curva cicloidal, epiciclóide, será abordado como por séculos este foi o modelo planetário, que descrevia o movimento dos planetas em epiciclos. Por fim analisaremos como a ciclóide, epiciclóide e hipociclóide podem ser estudadas no ensino médio, correlacionando assuntos como astronomia e arquitetura e como a utilização de recursos computacionais pode ser utilizada para visualizar as formas dessas curvas mediante a mudança de variáveis pré-estabelecidas. _______________________________________________________________________________ ABSTRACTWe present study in this work the the cycloidal curves: cycloid and hypocycloid epicycloids. However, to support the claims that will be made in this work, mainly on the cycloid, initially deal on variational calculus, its history and about famous mathematicians who contributed to its development, following we will discuss the problem posed by Johann Bernoulli: the problem of Brachistochrone which corroborated and much to the findings on the variational calculus. About the cycloid specifically discuss their interesting properties, namely the fact that this is tautocrona and isochronous. As for the second cycloidal, epicycloids curve, as will be discussed for centuries this was the planetary model, describing the motion of the planets on epicycles. Finally we will analyze how the cycloid and hypocycloid epicycloids can be studied in high school, correlating subject slike astronomy and architecture and how the use of computational resources can be used to visualize the shapes of these curves by changing the pre- set variables
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O cálculo variacional e as curvas cicloidais
2014Co-Authors: Leonardo Miranda De ,castroAbstract:Apresentamos neste trabalho as curvas cicloidais: ciclóide, epiciclóide e hipociclóide. No entanto, para sustentar as afirmações que serão feitas neste trabalho, principalmente sobre a ciclóide, inicialmente trataremos sobre o cálculo variacional, a sua história e sobre matemáticos famosos que contribuíram para o seu desenvolvimento, após discorreremos sobre o problema colocado por Johann Bernoulli: o problema da Braquistócrona que contribuiu grandemente para as descobertas sobre o cálculo variacional no porvir. Sobre a ciclóide especificamente discutiremos suas interessantes propriedades, a saber: o fato desta ser tautócrona e isócrona. Já para a segunda curva cicloidal, epiciclóide, será abordado como por séculos este foi o modelo planetário, que descrevia o movimento dos planetas em epiciclos. Por fim analisaremos como a ciclóide, epiciclóide e hipociclóide podem ser estudadas no ensino médio, correlacionando assuntos como astronomia e arquitetura e como a utilização de recursos computacionais pode ser utilizada para visualizar as formas dessas curvas mediante a mudança de variáveis pré-estabelecidas. _______________________________________________________________________________ ABSTRACTWe present study in this work the the cycloidal curves: cycloid and hypocycloid epicycloids. However, to support the claims that will be made in this work, mainly on the cycloid, initially deal on variational calculus, its history and about famous mathematicians who contributed to its development, following we will discuss the problem posed by Johann Bernoulli: the problem of Brachistochrone which corroborated and much to the findings on the variational calculus. About the cycloid specifically discuss their interesting properties, namely the fact that this is tautocrona and isochronous. As for the second cycloidal, epicycloids curve, as will be discussed for centuries this was the planetary model, describing the motion of the planets on epicycles. Finally we will analyze how the cycloid and hypocycloid epicycloids can be studied in high school, correlating subject slike astronomy and architecture and how the use of computational resources can be used to visualize the shapes of these curves by changing the pre- set variables
Pérez Antonio - One of the best experts on this subject based on the ideXlab platform.
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El mejor tobogán... o el ingenio matemático de Johann Bernoulli
Federación Española de Sociedades de Profesores de Matemáticas, 2007Co-Authors: Pérez AntonioAbstract:En la sección de cabeza del número anterior de SUMA habíamos dejado a Galileo sumido en su sutil pero lamentable error de que la curva por la que una bola caería de un punto más alto a otro más bajo en el menor tiempo posible sería un arco de circunferencia que uniese ambos puntos. Johann, el pequeño de los Bernoulli, ya sabía que Galileo estaba equivocado cuando lanzó en el verano de 1696, el reto público, pensando más en provocar a su hermano mayor Jacob que en otra cosa, de encontrar la auténtica curva braquistócrona, la de tiempo más breve posible
Antonio Perez Sanz - One of the best experts on this subject based on the ideXlab platform.
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el mejor tobogan o el ingenio matematico de Johann Bernoulli
Suma: Revista sobre Enseñanza y Aprendizaje de las Matemáticas, 2007Co-Authors: Antonio Perez SanzAbstract:En la seccion de cabeza del numero anterior de SUMA habiamos dejado a Galileo sumido en su sutil pero lamentable error de que la curva por la que una bola caeria de un punto mas alto a otro mas bajo en el menor tiempo posible seria un arco de circunferencia que uniese ambos puntos. Johann, el pequeno de los Bernoulli, ya sabia que Galileo estaba equivocado cuando lanzo en el verano de 1696, el reto publico, pensando mas en provocar a su hermano mayor Jacob que en otra cosa, de encontrar la autentica curva braquistocrona, la de tiempo mas breve posible.
N Baca - One of the best experts on this subject based on the ideXlab platform.
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daniel Bernoulli d alembert and the inoculation of smallpox 1760
2011Co-Authors: N BacaAbstract:Daniel Bernoulli was born in 1700 in Groningen in the Netherlands. His family included already two famous mathematicians: his father Johann Bernoulli and his uncle Jakob Bernoulli. In 1705 Johann moved to Basel in Switzerland where he took the professorship left vacant by the death of Jakob. Johann did not want his son to study mathematics. So Daniel turned to medicine, obtaining his doctoral degree in 1721 with a thesis on respiration. He moved to Venice and began focusing on mathematics, publishing a book in 1724. Having won a prize from the Paris Academy of Sciences that same year for an essay “On the perfection of the hourglass on a ship at sea”, he obtained a professorship at the new Saint Petersburg Academy. During these years, he worked especially on recurrent series or on the “paradox of Saint Petersburg” in probability theory. In 1733 Daniel Bernoulli returned to the University of Basel, where he taught successively botany, physiology and physics. In 1738 he published a book on fluid dynamics that has remained famous in the history of physics. Around 1753 he became interested at the same time as Euler and d’Alembert in the problem of vibrating strings, which caused an important mathematical controversy.
